Mu = 8.66 × 10^25 kg
Explanation:
centripetal force = gravitational force
where
m = mass of moon Ariel
mu = mass of Uranus
r = radius of Ariel's orbit
v = Ariel's velocity around Uranus
To find the velocity, we need to find the circumference of the no orbit and then divide it by the period (2.52 days):
circumference = 2πr = 2π×(1.91 × 10^8 m)
= 1.2 × 10^9 m
period = 2.52 days × (24 h/1 day)×(3600 s/1 hr)
= 2.18 × 10^5 s
v = (1.2 × 10^9 m)/(2.18 × 10^5 s)
= 5.5 × 10^3 m/s
(5.5 × 10^3 m/s)^2/(1.91 × 10^8 m) = (6.67 × 10^-11 m^3/kg-s^2)Mu/(1.91 × 10^8 m)^2
Solving Mu,
Mu = 8.66 × 10^25 kg
Answer:
For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.
Explanation:
According to the USDA, 40% of our food worth $161 billion is not even harvested, lost in processing, thrown away in restaurants and homes or ended up rotting in America’s landfills. It is also reported that 50% of the produce is never consumed.
Disparities in food distribution and availability imply that numerous communities and neighborhoods have very constrained access to fresh affordable food. Also, a significant number of those with a bounty of food choose to toss it rather than donate it.
Another type of food waste comes from produce discarded by millions of backyard cultivators due to their gardens producing far more fruits and vegetables than they might use, preserve or give to friends and neighbours.
Answer:
- d = 2; m = 2; m = 2
- d= 1; m = 1; m = 2
- d = 1; m = 1; m = 1
- d = 2; m = 1; m = 2
- d = 2; m = 1; m = 1
Explanation:
The following diagrams show five pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M=2 has twice the mass of one with M=1 and a distance of d=2 is twice as large as a distance of d=1. Rank each pair from left to right based on the strength of the gravitational force attracting the asteroids to each other, from strongest to weakest.
- d = 2; m = 2; m = 2
- d= 1; m = 1; m = 2
- d = 1; m = 1; m = 1
- d = 2; m = 1; m = 2
- d = 2; m = 1; m = 1
Answer:
0.97566 m/s
Explanation:
= Mass of cannon = 2260 kg
= Velocity of cannon
= Mass of ball = 21 kg
= Velocity of ball = 105 m/s
As the momentum of the system is conserved we have
The velocity of the cannon is 0.97566 m/s
